Version 1
: Received: 11 March 2021 / Approved: 15 March 2021 / Online: 15 March 2021 (16:23:56 CET)
How to cite:
Ortigueira, M. The Complex Order Fractional Derivatives and Systems Are Non Hermitian. Preprints2021, 2021030399. https://doi.org/10.20944/preprints202103.0399.v1
Ortigueira, M. The Complex Order Fractional Derivatives and Systems Are Non Hermitian. Preprints 2021, 2021030399. https://doi.org/10.20944/preprints202103.0399.v1
Ortigueira, M. The Complex Order Fractional Derivatives and Systems Are Non Hermitian. Preprints2021, 2021030399. https://doi.org/10.20944/preprints202103.0399.v1
APA Style
Ortigueira, M. (2021). The Complex Order Fractional Derivatives and Systems Are Non Hermitian. Preprints. https://doi.org/10.20944/preprints202103.0399.v1
Chicago/Turabian Style
Ortigueira, M. 2021 "The Complex Order Fractional Derivatives and Systems Are Non Hermitian" Preprints. https://doi.org/10.20944/preprints202103.0399.v1
Abstract
This paper discusses the concept of fractional derivative with complex order from the application point of view. It is shown that a fractional derivative is hermitian, if and only if the order is real. The hermitian part of complex order derivatives behave like allpass filters with almost logarithmic phase.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
